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a note on some parameters of domination on the edge neighborhood graph of a graph
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نویسنده
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movahedi fatemeh ,akhbari mohammad hadi
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منبع
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caspian journal of mathematical sciences - 2022 - دوره : 11 - شماره : 1 - صفحه:40 -51
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چکیده
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The edge neighborhood graph ne(g) of a simple graph g is the graph with the vertex set e ∪ s where s is the set of all open edge neighborhood sets of g and two vertices u, v ∈ v (ne(g)) adjacent if u ∈ e and v is an open edge neighborhood set containing u. in this paper, we determine the domination number, the total domination number, the independent domination number and the 2-domination number in the edge neighborhood graph. we also obtain a 2-domination polynomial of the edge neighborhood graph for some certain graphs.
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کلیدواژه
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edge neighborhood graph ,domination number ,total domination ,independent domination ,2-domination polynomial
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آدرس
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golestan university, faculty of sciences, department of mathematics, iran, islamic azad university, estahban branch, department of mathematics, iran
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پست الکترونیکی
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mhakhbari20@gmail.com
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Authors
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